Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Nonlinear Systems
  • Cited by 270
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
1992
Online ISBN:
9781139172455
DOI:
https://doi.org/10.1017/CBO9781139172455
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Mathematical Modeling and Methods
Series:
Cambridge Texts in Applied Mathematics (10)
  • 92.99 (USD)
    Digital access for individuals
    (PDF download and/or read online)
    Add to cart
    Added to cart
    Digital access for individuals
    (PDF download and/or read online)
    View cart
  • Export citation
  • Buy a print copy
  • Recommend to librarian
Information

Book description

The theories of bifurcation, chaos and fractals as well as equilibrium, stability and nonlinear oscillations, are part of the theory of the evolution of solutions of nonlinear equations. A wide range of mathematical tools and ideas are drawn together in the study of these solutions, and the results applied to diverse and countless problems in the natural and social sciences, even philosophy. The text evolves from courses given by the author in the UK and the United States. It introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated theory, rather than presenting isolated fashionable topics. Topics are discussed in as concrete a way as possible and worked examples and problems are used to explain, motivate and illustrate the general principles. The essence of these principles, rather than proof or rigour, is emphasized. More advanced parts of the text are denoted by asterisks, and the mathematical prerequisites are limited to knowledge of linear algebra and advanced calculus, thus making it ideally suited to both senior undergraduates and postgraduates from physics, engineering, chemistry, meteorology etc. as well as mathematics.

Reviews

‘ … contains an abundance of interesting problems … will be of immense value to anyone planning a course on the subject.’

Source: The Times Higher Education Supplement

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.